Problem 4.05 Workmen are trying to free an SUV stuck in the mud. To extricate th

Question

Problem 4.05

Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure.(Figure 1) Take F1 = 879N ,F2 = 680N , and F3 = 444N .

Part A

Find the x components of each of the three pulls.

Part B

Find the y components of each of the three pulls.

Part C

Use the components to find the magnitude of the resultant of the three pulls.

Part D

Use the components to find the direction of the resultant of the three pulls.

Enter your answer as the angle counted from +x axis in the counterclockwise direction.

of 1

Problem 4.05

Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure.(Figure 1) Take F1 = 879N ,F2 = 680N , and F3 = 444N .

Part A

Find the x components of each of the three pulls.

F1x,F2x,F3x =

Part B

Find the y components of each of the three pulls.

F1y,F2y,F3y = N

Part C

Use the components to find the magnitude of the resultant of the three pulls.

F? =

Part D

Use the components to find the direction of the resultant of the three pulls.

Enter your answer as the angle counted from +x axis in the counterclockwise direction.

of 1

Explanation / Answer

Part A)

F1x = (879)(cos 31) = 753.5 N

F2x = (680)(sin 32) = 360 N - But it is pointing in the negative x direction, so use -360 N

F3x = (444)(cos 53) = 267 N - But it is pointing in the negative x direction, so use -267 N

Part B)

F1x = (879)(sin 31) = 452.7 N

F2x = (680)(cos 32) = 576.7 N

F3x = (444)(sin 53) = 354.6 N - But it is pointing in the negative y direction, so use -354.6 N

Part C)

Net x = 753.5 - 360 - 267 = 126.5 N

Net y = 452.7 + 576.7 - 354.6 = 674.8 N

Then by the Pythagorean Theorem

Net2 = (126.5)2 + (674.8)2

Net = 686.6 N

Part D)

tan(angle) = 674.8/126.5

angle = 79.4o

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.